Question

Amy has 35 tiles of the same shape and size in a box. The colors of and amounts of the tiles are shown below:

12 red tiles
8 yellow tiles
15 pink tiles

Without looking in the box, Amy takes out a tile at random. She then replaces the tile and takes out another tile from the box. What is the probability that Amy takes out a yellow tile in both draws?

8 over 35 multiplied by 7 over 34 equal 56 over 1190
8 over 35 multiplied by 8 over 35 equal 64 over 1225
8 over 35 plus 7 over 34 equal 517 over 1190
8 over 35 plus 8 over 35 equal 560 over 1225

Answer 1

@Michele_Laino

Answer 2

@Michele_Laino

Answer 3

we have 8 favorable outcomes
and
12+8+15= 35 possible outcomes
so
probability=
favorable outcomes/ possible outcomes=...

Answer 4

that is the probability associated to a single extraction

Answer 5

favorable outcomes = 8
possible outcomes = 35
\[\Large \frac{{{\text{favorable outcomes}}}}{{{\text{possible outcomes}}}} = ...\]

Answer 6

so i have to divide

Answer 7

yes!

Answer 8

@Michele_Laino

Answer 9

the probability is 8/35 it is simple!

Answer 10

for a single extraction

Answer 11

so what about the other part

Answer 12

for second extraction, the probability is the same, namely it is 8/35, since Amy replaces the tile into the box. Now the requested probability is the product of the two probabilities, namely:

probability = (8/35)*(8/35)=...?

Answer 13

64/1225

Answer 14

that's right!

Answer 15

Yay!

Answer 16

:)

Answer 17

A coin was flipped 150 times. The results of the experiment are shown in the following table:

Heads Tails
90 60


Which of the following best describes the experimental probability of getting heads?

It is 10% higher than the theoretical probability.
It is 10% lower than the theoretical probability.
It is equal to the theoretical probability for this data.
The experimental probability cannot be concluded from the data in the table.

Answer 18

the theoretical probability is 1/2
since we have two possible outcomes, namely a head and a tail
and we have one favorable outcome, namely a head, so
probability = 1/2= 0.5
The experimental probability to get a head is
90/150=...

Answer 19

since we have 90 favorable cases and 150 possible cases or outcomes

Answer 20

0.6

Answer 21

SO IT 10% lower than the theoretical probability

Answer 22

now the difference between the experimental probability and the theoretical probability is:
0.6-0.5=...

Answer 23

so its 10% higher

Answer 24

that's right!

Answer 25

so the answer is A

Answer 26

yes!

Answer 27

yay!!!! last question sorry

Answer 28

ok!

Answer 29

The number of marbles of different colors stored in a hat is listed below:

8 red marbles
10 green marbles
6 blue marbles

Without looking in the hat, Tessa takes out a marble at random. She replaces the marble and then takes out another marble from the hat. What is the probability that Tessa takes out a blue marble in both draws?

fraction 1 over 16
fraction 1 over 12
fraction 1 over 4
fraction 1 over 2

Answer 30

here we have
8+10+6= 24 possible outcomes
and we have
6 favorable outcomes
so the probability associated to a single extraction is:
p= 6/24
please simplify that fraction

Answer 31

0.25

Answer 32

we can divide both numerator and denominator by 6, wha do you get?

Answer 33

divide what?

Answer 34

oh 1/4

Answer 35

that's right!

Answer 36

so is that the answer @Michele_Laino

Answer 37

now, the probability associated to the second extraction is the same, namely 1/4.
So the requested probability is given by the product between the above probabilities, namely
p= (1/4)*(1/4)=...?

Answer 38

what is:
\[\Large P = \frac{1}{4} \times \frac{1}{4} = ...?\]

Answer 39

Dang it

Answer 40

i just submitted my test

Answer 41

and i got it wrong

Answer 42

because i forgot to do the last part

Answer 43

):

Answer 44

but i got a 87% percent on my test

Answer 45

so have you passed it?

Answer 46

yes i did

Answer 47

CONGRATULATIONS!!!!!

Answer 48

im finished with math until next year yay!!!!!!!!

Answer 49

:)

Answer 50

Im going to be in 8th grade

Answer 51

ok!! :)

Answer 52

but Atleast i got a high B on my test !

Answer 53

and i have a A in Math!

Answer 54

good job!!

Answer 55

Thank you so much you really helped me undertand what i was doing. But i will be coming back just in case i need help lol!

Answer 56

ok! :)

Answer 57

hi marc
just if u could, please only post 1x question per post
cheers